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Finding the Fourth Proportional to 7,165.39, 9,888.84 and 4,181.42

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Solution

The fourth proportional to 7,165.39, 9,888.84 and 4,181.42 is: 5,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.39 : 9,888.84 = 4,181.42 : x
  2. Step 2: Convert to fraction form
    7,165.39/9,888.84 = 4,181.42/x
  3. Step 3: Cross multiply
    7,165.39x = 9,888.84 × 4,181.42
  4. Step 4: Simplify right side
    7,165.39x = 41,349,393.35
  5. Step 5: Solve for x
    x = 41,349,393.35/7,165.39
  6. Step 6: Final answer
    x = 5,770.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.